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132545420134452 = 2232131534571845577
BaseRepresentation
bin11110001000110010100010…
…101011110000100000110100
3122101022012220020001202011100
4132020302202223300200310
5114333111010023300302
61145522305253210100
736630043033645233
oct3610624253604064
9571265806052140
10132545420134452
1139262219239806
1212a48235030930
1358c5c96c19410
1424a3338226b1a
15104cc25936d1c
hex788ca2af0834

132545420134452 has 72 divisors (see below), whose sum is σ = 360820634914376. Its totient is φ = 40782918334464.

The previous prime is 132545420134427. The next prime is 132545420134531. The reversal of 132545420134452 is 254431024545231.

132545420134452 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 4 + 54 + 201 + 344 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46919157259536 + 85626262874916 = 6849756^2 + 9253446^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132545420134398 and 132545420134407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70895088 + ... + 72740664.

Almost surely, 2132545420134452 is an apocalyptic number.

132545420134452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132545420134452 is an abundant number, since it is smaller than the sum of its proper divisors (228275214779924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132545420134452 is a wasteful number, since it uses less digits than its factorization.

132545420134452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999057 (or 1999052 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 132545420134452 its reverse (254431024545231), we get a palindrome (386976444679683).

The spelling of 132545420134452 in words is "one hundred thirty-two trillion, five hundred forty-five billion, four hundred twenty million, one hundred thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 153457 306914 460371 613828 920742 1381113 1841484 1845577 1994941 2762226 3691154 3989882 5524452 5536731 5984823 7382308 7979764 11073462 11969646 16610193 17954469 22146924 23939292 23992501 33220386 35908938 47985002 66440772 71817876 71977503 95970004 143955006 215932509 287910012 431865018 863730036 283216709689 566433419378 849650129067 1132866838756 1699300258134 2548950387201 3398600516268 3681817225957 5097900774402 7363634451914 10195801548804 11045451677871 14727268903828 22090903355742 33136355033613 44181806711484 66272710067226 132545420134452